We study the existence of bounded oscillatory solutions for a higher order differential equation, considered as a perturbation of an associated linear equation. Jointly with this, we study the nonexistence of solutions vanishing at infinity and, as an application, we obtain in the linear case an asymptotic equivalency criterion.
Oscillation for higher order differential equations with a middle term / Miroslav Bartusek; Zuzana Dosla; Mauro Marini. - In: BOUNDARY VALUE PROBLEMS. - ISSN 1687-2762. - ELETTRONICO. - 2014:48:(2014), pp. 1-18. [10.1186/1687-2770-2014-48]
Oscillation for higher order differential equations with a middle term
MARINI, MAURO
2014
Abstract
We study the existence of bounded oscillatory solutions for a higher order differential equation, considered as a perturbation of an associated linear equation. Jointly with this, we study the nonexistence of solutions vanishing at infinity and, as an application, we obtain in the linear case an asymptotic equivalency criterion.
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